We look at the division of 586516 by 88 
Our goal is to divide 586516 by 88.

Step 1:
88 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 88

On to step 2:
58 divided by 88 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 88

Advancing to step 3:
When dividing 586 by 88, we get 6 with a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 528 from 586 to get 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 88

Going ahead to step 4:
When dividing 585 by 88, we get 6 with a remainder of 57.
Write down 6 as next digit of the result. 
Result so far: 66.0
If we subtract 528 from 585, we get 57.
Append the next digit (1) from the dividend to 57 and continue with: 571 / 88

Let's proceed to step 5:
571 divided by 88 is 6 with a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 666.0
Deduct 528 from 571 and we're left with 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 88

Let's proceed to step 6:
When dividing 436 by 88, we get 4 with a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 6664.0
If we take 352 away from 436, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 7:
If we divide 840 by 88, we get 9 and a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 6664.9
The remainder is 48 after subtracting 792 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
88 goes into 480 5 times with a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 6664.95
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
400 divided by 88 is 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 6664.954
Subtracting 352 from 400 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
When dividing 480 by 88, we get 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 6664.9545
Deduct 440 from 480 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
The number 88 fits into 400 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6664.95454
If we subtract 352 from 400, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
480 divided by 88 is 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 6664.954545
The remainder is 40 after subtracting 440 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
If we divide 400 by 88, we get 4 and a remainder of 48.
The next digit of our result is 4. 
Result so far: 6664.9545454
If we take 352 away from 400, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 14:
The number 88 fits into 480 5 times, leaving a remainder of 40.
The next digit of our result is 5. 
Result so far: 6664.95454545
If we take 440 away from 480, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 6664.95454545 with a remainder of 4e-08.